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Simplifying 3(b + -2) + -5 = 4(b + -7) Reorder the terms: 3(-2 + b) + -5 = 4(b + -7) (-2 * 3 + b * 3) + -5 = 4(b + -7) (-6 + 3b) + -5 = 4(b + -7) Reorder the terms: -6 + -5 + 3b = 4(b + -7) Combine like terms: -6 + -5 = -11 -11 + 3b = 4(b + -7) Reorder the terms: -11 + 3b = 4(-7 + b) -11 + 3b = (-7 * 4 + b * 4) -11 + 3b = (-28 + 4b) Solving -11 + 3b = -28 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -11 + 3b + -4b = -28 + 4b + -4b Combine like terms: 3b + -4b = -1b -11 + -1b = -28 + 4b + -4b Combine like terms: 4b + -4b = 0 -11 + -1b = -28 + 0 -11 + -1b = -28 Add '11' to each side of the equation. -11 + 11 + -1b = -28 + 11 Combine like terms: -11 + 11 = 0 0 + -1b = -28 + 11 -1b = -28 + 11 Combine like terms: -28 + 11 = -17 -1b = -17 Divide each side by '-1'. b = 17 Simplifying b = 17
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